Ellipses and Hyperbolas
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This example demonstrates the geometric properties of ellipses and hyperbolas. Key mathematical concepts include the definitions and representations of these curves in coordinate geometry. Using GeoGebra commands such as LineBisector, Circle, and Segment, these curves can be constructed. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
LineBisector(B1, A) → C1LineBisector(B2, A) → C2LineBisector(B3, A) → C3LineBisector(B4, A) → C4LineBisector(B5, A) → C5LineBisector(B6, A) → C6LineBisector(B7, A) → C7LineBisector(B8, A) → C8LineBisector(B9, A) → C9LineBisector(B10, A) → C10LineBisector(B11, A) → C11LineBisector(B12, A) → C12LineBisector(B13, A) → C13LineBisector(B14, A) → C14LineBisector(B15, A) → C15LineBisector(B16, A) → C16LineBisector(B17, A) → C17LineBisector(B18, A) → C18LineBisector(B19, A) → C19LineBisector(B20, A) → C20LineBisector(B21, A) → C21LineBisector(B22, A) → C22LineBisector(B23, A) → C23LineBisector(B24, A) → C24LineBisector(B25, A) → C25LineBisector(B26, A) → C26LineBisector(B27, A) → C27LineBisector(B28, A) → C28LineBisector(B29, A) → C29LineBisector(B30, A) → C30LineBisector(B31, A) → C31LineBisector(B32, A) → C32LineBisector(B33, A) → C33LineBisector(B34, A) → C34LineBisector(B35, A) → C35LineBisector(B36, A) → C36LineBisector(B37, A) → C37LineBisector(B38, A) → C38LineBisector(B39, A) → C39LineBisector(B40, A) → C40LineBisector(B41, A) → C41LineBisector(B42, A) → C42LineBisector(B43, A) → C43LineBisector(B44, A) → C44LineBisector(B45, A) → C45LineBisector(B46, A) → C46LineBisector(B47, A) → C47LineBisector(B48, A) → C48LineBisector(B49, A) → C49LineBisector(B50, A) → C50LineBisector(B51, A) → C51LineBisector(B52, A) → C52LineBisector(B53, A) → C53LineBisector(B54, A) → C54LineBisector(B55, A) → C55LineBisector(B56, A) → C56LineBisector(B57, A) → C57LineBisector(B58, A) → C58LineBisector(B59, A) → C59LineBisector(B60, A) → C60LineBisector(B61, A) → C61LineBisector(B62, A) → C62LineBisector(B63, A) → C63LineBisector(B64, A) → C64LineBisector(B65, A) → C65LineBisector(B66, A) → C66LineBisector(B67, A) → C67LineBisector(B68, A) → C68LineBisector(B69, A) → C69LineBisector(B70, A) → C70LineBisector(B71, A) → C71LineBisector(B72, A) → C72Circle((0, 0), 1) → cLineBisector(B73, A) → C73LineBisector(B74, A) → C74LineBisector(B75, A) → C75LineBisector(B76, A) → C76LineBisector(B77, A) → C77LineBisector(B78, A) → C78LineBisector(B79, A) → C79LineBisector(B80, A) → C80LineBisector(B81, A) → C81LineBisector(B82, A) → C82LineBisector(B83, A) → C83LineBisector(B84, A) → C84LineBisector(B85, A) → C85LineBisector(B86, A) → C86LineBisector(B87, A) → C87LineBisector(B88, A) → C88LineBisector(B89, A) → C89LineBisector(B90, A) → C90LineBisector(B91, A) → C91LineBisector(B92, A) → C92LineBisector(B93, A) → C93LineBisector(B94, A) → C94LineBisector(B95, A) → C95LineBisector(B96, A) → C96LineBisector(B97, A) → C97LineBisector(B98, A) → C98LineBisector(B99, A) → C99LineBisector(B100, A) → C100Segment(A, B1) → D1Segment(A, B2) → D2Segment(A, B3) → D3Segment(A, B4) → D4Segment(A, B5) → D5Segment(A, B6) → D6Segment(A, B7) → D7Segment(A, B8) → D8Segment(A, B9) → D9Segment(A, B10) → D10Segment(A, B11) → D11Segment(A, B12) → D12Segment(A, B13) → D13Segment(A, B14) → D14Segment(A, B15) → D15Segment(A, B16) → D16Segment(A, B17) → D17Segment(A, B18) → D18Segment(A, B19) → D19Segment(A, B20) → D20Segment(A, B21) → D21Segment(A, B22) → D22Segment(A, B23) → D23Segment(A, B24) → D24Segment(A, B25) → D25Segment(A, B26) → D26Segment(A, B27) → D27Segment(A, B28) → D28Segment(A, B29) → D29Segment(A, B30) → D30Segment(A, B31) → D31Segment(A, B32) → D32Segment(A, B33) → D33Segment(A, B34) → D34Segment(A, B35) → D35Segment(A, B36) → D36Segment(A, B37) → D37Segment(A, B38) → D38Segment(A, B39) → D39Segment(A, B40) → D40Segment(A, B41) → D41Segment(A, B42) → D42Segment(A, B43) → D43Segment(A, B44) → D44Segment(A, B45) → D45Segment(A, B46) → D46Segment(A, B47) → D47Segment(A, B48) → D48Segment(A, B49) → D49Segment(A, B50) → D50Segment(A, B51) → D51Segment(A, B52) → D52Segment(A, B53) → D53Segment(A, B54) → D54Segment(A, B55) → D55Segment(A, B56) → D56Segment(A, B57) → D57Segment(A, B58) → D58Segment(A, B59) → D59Segment(A, B60) → D60Segment(A, B61) → D61Segment(A, B62) → D62Segment(A, B63) → D63Segment(A, B64) → D64Segment(A, B65) → D65Segment(A, B66) → D66Segment(A, B67) → D67Segment(A, B68) → D68Segment(A, B69) → D69Segment(A, B70) → D70Segment(A, B71) → D71Segment(A, B72) → D72Segment(A, B73) → D73Segment(A, B74) → D74Segment(A, B75) → D75Segment(A, B76) → D76Segment(A, B77) → D77Segment(A, B78) → D78Segment(A, B79) → D79Segment(A, B80) → D80Segment(A, B81) → D81Segment(A, B82) → D82Segment(A, B83) → D83Segment(A, B84) → D84Segment(A, B85) → D85Segment(A, B86) → D86Segment(A, B87) → D87Segment(A, B88) → D88Segment(A, B89) → D89Segment(A, B90) → D90Segment(A, B91) → D91Segment(A, B92) → D92Segment(A, B93) → D93Segment(A, B94) → D94Segment(A, B95) → D95Segment(A, B96) → D96Segment(A, B97) → D97Segment(A, B98) → D98Segment(A, B99) → D99Segment(A, B100) → D100Segment(A, B) → iLineBisector(i) → j